Concept explainers
(a)
To graph: The
(b)
To graph: The function,
(c)
To graph: The function,
(d)
To graph: The function,
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Bundle: Trigonometry, 10th + Webassign Printed Access Card For Larson's Trigonometry, 10th Edition, Single-term
- Fill in the blanks. For an equation that represents y as a function of x , the set of all values taken on by the ________variable x is the domain, and the set of all values taken on by the ________ variable y is the range.arrow_forwardUse the Vertical Line Test to determine whether the graph represents y as a function of x.arrow_forwardIs every relation a function? Is every function a relation?arrow_forward
- Find the domain of the function. (Enter your answer using interval notation.) Reload this page -9- - 0.2x Sketch the graph of the function. f 0 0 45 f x X 45 X -45 45 0 0 f X Xarrow_forwardFill in the transformation y = f(x) + k y = f(x) + k y = f(x + h) y = f(x + h) y = a. f(x) y = (1/a)-f(x) y = f(cx) y = f(x/c) y = -f(x) y = f(-x) formulas. the graph of f the graph of f the graph of f. the graph of f the graph of f the graph of f the graph of f the graph of f the graph of f the graph of f if k > 0 if k 0 if h 1 if a > 1 if c > 1 if c > 1arrow_forwardExercise Consider a 100-meter track used for foot races. The time it takes for a runner to run the track can be computed by taking the speed in running the track and applying it to the formula t = 100 since the distance is fixed at 100 meters. 1. Let x represents the speed to run the 100 meters. Represent the time to run the track as a function of the speed. 2. Represent t(x) as a table of values for speed from 5 meters per second to 10 meters per second. 3. Represent as a graph the table of values in #2. DUEMATICSarrow_forward
- 3. Find traits and sketch the graph the equation for a function g (x) that reflects the function f (x) = x² (x + 3) over the æ-axis, compresses the function by half, and shifts the one unit to the left. Label and scale your axes. • Domain: • x - Intercepts: y - Intercept: End Behavior: Range:arrow_forwardDetermine whether the equation or table defines y as a function of x y + 1/y = x + 1/xarrow_forwardShow workarrow_forward
- 2. Find traits and sketch the graph the equation for a function g (x) that reflects the function f (x) = x (x + 3) (x – 2)² over the x-axis and shifts it two units to the right. Label and scale your axes. • Domain: • x - Intercepts: • y - Intercept: End Behavior: Range:arrow_forwardPersonal Expenditures Personal consumption expenditures for durable goods in the United States, inbillions of dollars, can be modeled by the functionP(x) = 306.472x0.464, where x is the number ofyears after 1990. Rewrite the function with x equal tothe number of years after 1995. (Hint: Shift the x-valueby the difference in years.)arrow_forward
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